Vol. 6, No. 4, 2013

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 4, 543–722
Issue 3, 363–541
Issue 2, 183–362
Issue 1, 1–182

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-4184 (online)
ISSN 1944-4176 (print)
 
Author index
To appear
 
Other MSP journals
Irreducible divisor simplicial complexes

Nicholas R. Baeth and John J. Hobson

Vol. 6 (2013), No. 4, 447–460
Abstract

For an integral domain D, the irreducible divisor graph GD(x) of a nonunit x D gives a visual representation of the factorizations of x. Here we consider a higher-dimensional generalization of this notion, the irreducible divisor simplicial complex SD(x). We show how this new structure is a true generalization of GD(x), and show that it often carries more information about the element x and the domain D than its two-dimensional counterpart.

Keywords
factorization, simplicial complex
Mathematical Subject Classification 2010
Primary: 13A05
Secondary: 55U10
Milestones
Received: 6 August 2012
Revised: 12 October 2012
Accepted: 15 October 2012
Published: 8 October 2013

Communicated by Scott Chapman
Authors
Nicholas R. Baeth
Mathematics and Computer Science
University of Central Missouri
W. C. Morris 213
Warrensburg, MO 64093
United States
John J. Hobson
University of Central Missouri
Warrensburg, MO 64093
United States